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Volume of a Frustum of a Cone
V = (1/3)πh(R² + r² + Rr)
Where: R = bottom radius, V = Volume, h = height, r = top radius
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: R = 7, h = 5, r = 10
Find: V (Volume)
- Formula: V = π·h·(R² + R·r + r²)/3
- Substitute the values: V = π·5·(10² + 10·7 + 7²)/3
- Result: V = 1146.681319
Answer: V = 1146.681319
Calculator
How to calculate Volume of a Frustum of a Cone
- Write down the formula: V = (1/3)πh(R² + r² + Rr).
- Note the known values (R, h, r).
- Substitute them and simplify to find V.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Volume of a Frustum of a Cone?
The formula is V = (1/3)πh(R² + r² + Rr), where R = bottom radius, V = Volume, h = height, r = top radius.
What is Volume of a Frustum of a Cone when R = 7, h = 5, r = 10?
V = 1146.681319. Substitute the values into V = (1/3)πh(R² + r² + Rr) and simplify.